Kelly maximizes the expected growth rate, limn→∞E[W1/nn].
I… think this is wrong? It’s late and I should sleep so I’m not going to double check, but this sounds like you’re saying that you can take two sequences, one has a higher value at every element but the other has a higher limit.
If something similar to what you wrote is correct, I think it will be that Kelly maximizes E(limn→∞W1/nn). That feels about right to me, but I’m not confident.
I… think this is wrong? It’s late and I should sleep so I’m not going to double check, but this sounds like you’re saying that you can take two sequences, one has a higher value at every element but the other has a higher limit.
If something similar to what you wrote is correct, I think it will be that Kelly maximizes E(limn→∞W1/nn). That feels about right to me, but I’m not confident.